K3 surfaces and orthogonal modular forms
We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group (Z/2Z)2(\mathbb {Z}/2\mathbb {Z})^2 and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacobian elliptic fibration and the modular form...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
December 2025
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| In: |
Nagoya mathematical journal
Year: 2025, Volume: 260, Pages: 687-727 |
| ISSN: | 2152-6842 |
| DOI: | 10.1017/nmj.2025.10071 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1017/nmj.2025.10071 Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/k3-surfaces-and-orthogonal-modular-forms/57FF19AF0B2756227330727307F92025 
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| Author Notes: | Adrian Clingher, Andreas Malmendier, Brandon Williams |
| Summary: | We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group (Z/2Z)2(\mathbb {Z}/2\mathbb {Z})^2 and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacobian elliptic fibration and the modular form generators appear as coefficients in the Weierstrass-type equations describing these fibrations. |
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| Item Description: | Online veröffentlicht am 29. August 2025 Gesehen am 18.02.2026 |
| Physical Description: | Online Resource |
| ISSN: | 2152-6842 |
| DOI: | 10.1017/nmj.2025.10071 |